Answer: 24.24 m
Explanation:
A player launches a football 50.0 m at an angle of 61° to the north of west. We will break this down into vertical and horizontal elements.
Horizontal component: 50 cos 61° = 24.24 m directed westward
Vertical component: 50 sin 61° = 43.73 m directed toward the north.
Refer to the diagram below.
Therefore, the westward displacement of the football corresponds to the horizontal component of the displacement, which is 24.24 m.
Since it's classified as a transverse wave, the particle on the string moves horizontally as the wave progresses, without actual forward or backward travel. Consequently, the red dot shifts 'A' to the left, returns 'A' to the center, moves 'A' to the right, and goes back 'A' to the center once again. Thus, the red dot collectively travels a distance totaling 4A.